how any tablespoon of kernals per cup of popcorn

Answer:

-(4/3) is ans by using slope formula

Answer:

203 1/3  calories

Step-by-step explanation:

I make a proportion for inches of pizza to calories

[tex]\frac{6}{610}[/tex] = [tex]\frac{16}{x}[/tex]  I know that a 6 inch pizza has 610 calories, so I am trying to figure out how many calories are in a 16 inch pizza.

I can cross multiply to get

6x = (16)(610)

6x = 9760  Divide both sides by 6

x = 1626 [tex]\frac{2}{3}[/tex]  This is how many calories are in a whole pizza.  Now I want to know how many calories are in 1 slice.  I would take this number and divide by 8.

1626 2/3 as an improper fraction would be

[tex]\frac{4880}{3}[/tex] ÷ 8 Which is the same as

[tex]\frac{4880}{3}[/tex] x [tex]\frac{1}{8}[/tex] =[tex]\frac{4880}{24}[/tex]=203 [tex]\frac{1}{3}[/tex]

According to the given statement;

EF=18.682.

The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.

Distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.

According to the given value;

(-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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Answer:

I think 1,000??

The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.

Hence, the marginal utility of the fifth apple equals :

Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)

= (250 - 220) = 30

Hence, marginal utility per dollar: Marginal utility/price per apple

Price per apple = $0.5

Marginal utility of 5th apple = 30

Marginal utility of 5th apple = 30 / 0.5

Marginal utility of 5th apple = 60

Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

Complete question :

If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:

a) 20

b) 30

c) 40

d) 60

Number of apples ____total utility

2__________________130

3__________________180

4__________________220

5__________________250

6__________________270

7__________________280

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Answer: 14m + 1

Step-by-step explanation:

       We will write an expression for this question.

One more➜ + 1

than the product of ➜ multiplication, *

Mabel's age ➜ m

One more than the product of 14 and Mabel's age

14 * m + 1, 14m + 1

The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.

The given  hypothesis are,

[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]

Type II error is accepted in null hypothesis when it is not actually true.

In the given question null hypothesis p= 0.35

The conclusion is that in the given sample proportion is  not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.

Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65

[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]

Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]

Solving for Z using the given values we get :

Z=1.99

Now 1.99>-1.65

So we accept [tex]H_0[/tex]

The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.

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30 miles will a person travel in order to spend an equal amount of money using either service.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile.

Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile.

So, if equal amount of money spends on both services

3+0.2x = 3(2)+0.1x

3 +0.2x = 6 +0.1x

0.2x - 0.1x = 6-3

0.1x = 3

x = 30 miles

Hence, 30 miles will a person travel in order to spend an equal amount of money using either service.

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Answer:

The cost per unit of an item is called unit cost

Multiplying the underlying mean of $247 for a single day by 10 to account for the 10 days, the mean for food and lodging for a 10-day vacation is of $2470.

This problem is incomplete, but researching it on a search engine, it is found that the mean for a single day was of $247.

The entire trip was of 10 days, hence the mean is given as follows, multiplying the mean by the constant:

247 x 10 = $2,470.

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Answer:

A, commutative

Step-by-step explanation:

Commutative property of Multiplication is when you can switch around the numbers when multiplying.

Sal sold 7 pairs of type a socks and 9 pairs of type b socks

Let the number of type a socks sold by Sal be x

Let the number of type b socks sold by Sal be y

The selling price of type a socks = 45

The selling price of type b socks = 30

Total pairs sold = 16

Total income = 585

Therefore, the equations will be

x + y = 16-------(1)

45x + 30y = 585--------(2)

Multiplying equation (1) by 30 we get

30x + 30y = 480 ------(3)

Equating equations (2) and (3) we get,

15x = 105

x = 7

Putting x = 7 in (1) we get

y = 9

Sal sold 7 pairs of type a socks and 9 pairs of type b socks  

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Answer:

[tex]4^{21}[/tex]

Step-by-step explanation:

7 * 3 = 21
Add it as the exponent.

Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

So,

Therefore, Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

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Answer:

(3) 36

Step-by-step explanation:

3x + 1 = 9

Minus 1 from both sides.

3x = 8

Divide both sides by 3.

x = 2 2/3

Plug it in.

12 (2 2/3) + 4

32 + 4

36

Answer:

-9.42

Step-by-step explanation:

Answer: The slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3

Step-by-step explanation:

Define slope?

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

We can write:

m=(y2-y1) / (x2-x1)

If,

g(x) = 2x - 6

The slope of g(x), m = 2

Let, x1=0

y1=2

x2=-1

Y2=1

So, we take (x1, y1) and (x2, y2) Then consider (0, 2) and (-1, 1)

Solve it:

Replace with x1, y1 and x2, y2

m = [1-(-2)/(-1)]

m=[(1+2) /(-1) ]

m=3/(-1)

m=-3

Thus, the slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3.

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Answer:

x = 0.3384663

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -3 to 3

means that they are asking for the graph from -3 to 3 on the x-axis

gradient is (-1/2) which means rise is -1 when run is 2

y-intercept is 3.

go to 3 on the y axis which means the coordinate (0,3) go downwards by 1 and to the right by 2. This will lead you to coordinate (2,-1). Now connect both points by a straight line.

Answer:

No, because there is an output value with more than one input value.

Step-by-step explanation:

If you are using the same function equation, than you should not get the same output if you use two different inputs.

Answer:

2c+2

The number that will go in the green box is 2.

Step-by-step explanation:

3c-1-c+3

Combine the like terms.

3c-1-c+3=2c+2

Hope this helps!

Please mark as brainliest if correct!

[1/2, sqrt(3)/2] and [-1/2, -sqrt(3)/2] are  the unit vectors that are parallel to the tangent line to the curve.

Explain what a unit vector is?

y=2sin(x)

dy/dx equals 2 cos x at pi/6 for x.

pi/6 = 2 cos pi/6 = 2 sqrt(3)/2 = sqrt = dy/dx(pi/6) (3)

the line sqrt(3) (x-pi/6) is the tangent to y at pi/6.

Atan Theta = sqrt is the angle with the x axis (3)

θ = pi/3 radians at 60 degrees

the vectors of units at (pi/6,1) [cos(60), sin(60)] and [-cos(60), -sin(60)] are parallel to this line.

[1/2, sqrt(3)/2] as well as [-1/2, -sqrt(3)/2]

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Answer:

Statistical inference

Step-by-step explanation:

Given:

[tex]\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}[/tex]

Express 16 as [tex]4^{2}[/tex]: [tex]x^2+y^2=16[/tex]

[tex]x^2+y^2=4^2\\x^2+y^2=4^2 \times 1[/tex]

Trignometry,

[tex]\cos ^2(t)+\sin ^2(t)=1[/tex]

Now, substitute [tex]\cos ^2(t)+\sin ^2(t)[/tex] for 1:

[tex]\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)[/tex]

Law of indicates:
[tex]\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2[/tex]

Taking positive square roots as follows:

[tex]x=4 \cos (t), y=4 \sin (t)[/tex]

Recall that, z = xy.

Now, we have:

[tex]\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}[/tex]

Now, substitute the values:
[tex]r(t)=x_t i+y_t j+z_t k[/tex]

So, the vector r(t) is: [tex]r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i[/tex]

Therefore, the vector function r(t) is written as: [tex]r(t)=x_t i+y_t j+z_t k[/tex]

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The prime costs per unit (rounded to the nearest cent) for September were  $7.05 per unit.

In economics, total cost is the sum of all costs a company incurs in generating a certain output level.

Now, as per the question;

Prime cost = (cost of direct material + cost of direct labour)/number of units.

Cost of direct materials used = $66,000

Cost of direct labour = $75,000

Number of units = 20,000

Substituting the values;

= ($66,000 + $75,000) / 20,000 units

= $141,000 / 20,000 units

= $7.05 per unit

Thus, the prime cost per unit in September is found to be $7.05 per unit.

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Answer:

p = 12, q = 16,

Step-by-step explanation:

The order from least to greatest of the numbers will be D. one fifth, thirty percent, 0.8, four thirds.

It should be noted that 1/5 = 0.2

It should be noted that 30% = 0.3

It should be noted that 4/3 = 1.33

Therefore the order from least to greatest of the numbers will be one fifth, thirty percent, 0.8, four thirds

In conclusion, the correct option is D.

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